A new fractional modeling arising in engineering sciences and its analytical approximate solution
The aim of this article is to introduce a new approximate method, namely homotopy perturbation transform method (HPTM) which is a combination of homotopy perturbation method (HPM) and Laplace transform method (LTM) to provide an analytical approximate solution to time-fractional Cauchy-reaction diff...
Main Author: | Sunil Kumar |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2013-12-01
|
Series: | Alexandria Engineering Journal |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016813000938 |
Similar Items
-
Analytical and Approximate Solution for Solving the Vibration String Equation with a Fractional Derivative
by: Temirkhan S. Aleroev, et al.
Published: (2020-07-01) -
Approximate analytical fractional view of convection–diffusion equations
by: Khan Hassan, et al.
Published: (2020-12-01) -
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations
by: Sunil Kumar, et al.
Published: (2020-01-01) -
The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative
by: Sivaporn Ampun, et al.
Published: (2021-01-01) -
Application of the Generalized Laplace Homotopy Perturbation Method to the Time-Fractional Black–Scholes Equations Based on the Katugampola Fractional Derivative in Caputo Type
by: Sirunya Thanompolkrang, et al.
Published: (2021-03-01)